123248332304656 has 160 divisors (see below), whose sum is σ = 280052731728000. Its totient is φ = 52027764977664.

The previous prime is 123248332304507. The next prime is 123248332304701. The reversal of 123248332304656 is 656403233842321.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917245091 + ... + 1917309373.

It is an arithmetic number, because the mean of its divisors is an integer number (1750329573300).

Almost surely, 2^{123248332304656} is an apocalyptic number.

123248332304656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123248332304656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140026365864000).

123248332304656 is an abundant number, since it is smaller than the sum of its proper divisors (156804399423344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123248332304656 is a wasteful number, since it uses less digits than its factorization.

123248332304656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81081 (or 81075 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 52.

The spelling of 123248332304656 in words is "one hundred twenty-three trillion, two hundred forty-eight billion, three hundred thirty-two million, three hundred four thousand, six hundred fifty-six".